It is quite the brain acrobatics to focus on it not being a test, duh, but a document. The point is what this document is supposed to document. And that is there being no indication, that you are infected with COVID.
The term is actually well defined, especially what is supposed to be documented by it. I am German and they borrowed it straight from the government regulation. The "Negativnachweis"
https://www.rv.hessenrecht.hessen.de/bshe/document/jlr-Coron...
>(1) Soweit nach dieser Verordnung der Nachweis zu führen ist, dass keine Anhaltspunkte für eine Infektion mit dem SARS-CoV-2-Virus vorliegen (Negativnachweis), kann dies erfolgen durch
>(1) >If, according to this regulation, proof must be provide that there are no indications of infection with the SARS-CoV-2 virus (negative proof), this can be done by...
And you being vaccinated with a leaky vaccine doesnt mean there is no indication you are infected. Not in any way. This is misinformation that actually kills, because it allows COVID to spread. And its not information spread by some morons who drink bleach but by the government and quite literally taped to the doors of the figurative house of science. Because people lack the integrity to call out bullshit for what it is.